During the last fifteen years the field of the investigation of glasses
has experienced a period of extremely rapid growth, both in the
development of new theoretical ap- proaches and in the application of
new experimental techniques. After these years of intensive experimental
and theoretical work our understanding of the structure of glasses and
their intrinsic properties has greatly improved. In glasses we are con-
fronted with the full complexity of a disordered medium. The glassy
state is characterised not only by the absence of any long-range order;
in addition, a glass is in a non-equilibrium state and relaxation
processes occur on widely different time scales even at low
temperatures. Therefore it is not surprising that these complex and
novel physical properties have provided a strong stimulus for work on
glasses and amorphous systems. The strikingly different properties of
glasses and of crystalline solids, e. g. the low- temperature behaviour
of the heat capacity and the thermal conductivity, are based on
characteristic degrees of freedom described by the so-called two-level
systems. The random potential of an amorphous solid can be represented
by an ensemble of asymmetric double minimum potentials. This ensemble
gives rise to a new class of low-lying excitations unique to glasses.
These low-energy modes arise from tunneling through a potential barrier
of an atom or molecule between the two minima of a double-well.